科斯祖尔模块的正则性

arXiv - MATH - Commutative Algebra Pub Date : 2024-09-18 DOI:arxiv-2409.11840

Tony J. Puthenpurakal

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引用次数: 0

摘要

让 $K$ 是一个域，让 $S = K[X_1, \ldots, X_n]$.让 $I$ 是 $S$ 中的一个有阶阶元，让 $M$ 是一个有限生成的有阶 $S$ 模块。我们给出了 $I$ 和 $M$ 的几类科斯祖尔同构模块 $H_i(I, M)$ 的正则性的上界。

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Regularity of Koszul modules

Let $K$ be a field and let $S = K[X_1, \ldots, X_n]$. Let $I$ be a graded ideal in $S$ and let $M$ be a finitely generated graded $S$-module. We give upper bounds on the regularity of Koszul homology modules $H_i(I, M)$ for several classes of $I$ and $M$.

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arXiv - MATH - Commutative Algebra

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